document.write( "Question 1110592: when driving down a mountain road, you notice warning signs indicating that it is a \"12% grade\". this means that the slope of the road is -12/100. Approximate the amount of horizontal change in your position if you note from elevation markers that you descended 2000 feet vertically. (Write equation and grap) \n" ); document.write( "

Algebra.Com's Answer #725661 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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driving down a mountain road, you notice warning signs indicating that it is a \"12% grade\". this means that the slope of the road is -12/100. Approximate the amount of horizontal change in your position if you note from elevation markers that you descended 2000 feet vertically. (Write equation and grap)
\n" ); document.write( ":
\n" ); document.write( "using the slope intercept form of equation: y = mx + b
\n" ); document.write( "slope (m) = -12/100 or -.12; y intercept (b) will be 2000 ft
\n" ); document.write( "x is the horizontal position, y is the elevation
\n" ); document.write( "y = -.12x + 2000
\n" ); document.write( "graphically
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-5000%2C+20000%2C+-1000%2C+3000%2C+-.12x%2B2000%29+\"$
\n" ); document.write( "When you have descended 2000 ft, the x intercept will be the horizontal dist in feet
\n" ); document.write( "We can solve for x when y = 0;
\n" ); document.write( "-.12x + 2000 = 0
\n" ); document.write( "-.12x = -2000
\n" ); document.write( "x = -2000/-.12
\n" ); document.write( "x = 16,667 ft or 3.157 mi
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